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Presentation
Positive Trait Item Response Models
Proceedings of the 2012 Joint Statistical Meetings of the American Statistical Association,the International Biometric Society, the Institute of Mathematical Statistics, and Statistica Canada (2012)
  • Joseph F. Lucke, State University of New York at Buffalo
Abstract

A new item response model is proposed for which the trait is positive. Three such models, the loglogistic, the log-normal, and the Weibull, are presented along with their item information curves. The data of seven addiction items from the DSM-IV from a study on alcohol addiction is analyzed by these three models using Bayesian Markov chain Monte Carlo methods. The item characteristic curves and item information curves are presented for all three models. The person scores for four item response patterns are presented for the log-logistic model.

Keywords
  • item response theory,
  • positive latent trait,
  • log-logistic log-normal,
  • Weibull,
  • Bayesian
Publication Date
2012
Citation Information
Positive Trait Item Response Models Suggested Citation: Joseph F. Lucke. "Positive Trait Item Response Models" Proceedings of the 2012 Joint Statistical Meetings of the American Statistical Association,the International Biometric Society, the Institute of Mathematical Statistics, and Statistica Canada}. San Diego, CA. 2012. Available at: http://works.bepress.com/joseph_lucke/35